Question

Find the intercepts and then graph the line

3x-4y=18

Answer 1

x-intercept: (6,0)
y-intercept: (0,−9/2)

Answer 2

need explanation?

Answer 3

Yes thanks

Answer 4

Multiply −4 by each term inside the parentheses.

More Detail
Multiply −4 by the 0 inside the parentheses.




Multiply −4 by 0 to get 0.



Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.



Divide each term in the equation by 3.



Simplify the left-hand side of the equation by canceling the common factors.


Cancel the common factor of 3 in 3x/3.



Reduce the expression 3x/3 by removing a factor of 3 from the numerator and denominator.

x=18/3



Simplify the equation.


Cancel the common factor of 3 in 18/3.



Reduce the expression 18/3 by removing a factor of 3 from the numerator and denominator.

x=6


To find the y-intercept, substitute in 0 for x and solve for y.



Multiply 3 by each term inside the parentheses.


Multiply 3 by the 0 inside the parentheses.




Multiply 3 by 0 to get 0.


Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.


Divide each term in the equation by −4.


Simplify the left-hand side of the equation by canceling the common factors.


Move the minus sign from the denominator to the front of the expression.




Cancel the common factor of 4 the expression 4y/4.




Reduce the expression 4y4 by removing a factor of 4 from the numerator and denominator.

y=18/−4

Solve the equation.
Move the minus sign from the denominator to the front of the expression.

y=−18/4


Cancel the common factor of 2 the expression −18/4.


Reduce the expression −18/4 by removing a factor of 2 from the numerator and denominator.

y=−9/2

These are the x and y intercepts of the equation 3x−4y=18.

x-intercept: (6,0)
y-intercept: (0,−92)

Answer 5

-9/2 y itnercept

Answer 6

but why did graph line go throug -4 on y intercept

Answer 7

but the answer for y is -9/2

Answer 8

cause -9/2 also equals = -4 and 1/2

Answer 9

orless

Answer 10

how many times does 2 go into 9? 4 times with 1/2 left right

Answer 11

oh good
thanks goog nite

Answer 12

good night